 | John Mason Good - 1813 - 714 pagina’s
...any centre, at any distance irom that centre. jtiiams.—l. Things which are equal to the same ore equal to one another. 2. If equals be added to equals, the whiles ari equal. 3. \f equals be taken from equals, «le remainders aro equal. 4. If equals be added... | |
 | John Mason Good - 1819 - 800 pagina’s
...that centre. Aihitis. — 1 . Things which are equal to Ihe umc are equal to one another. 2. If equaU be added to equals, the wholes are equal. 3. If equals be taken fi от equals, the remainders are equal. 4. If equals be added to unequal*, the whalM are unequal.... | |
 | 1854 - 1112 pagina’s
...never fatigue, And pleasures that never decay. Witney, Oxon. WS HOETON. LESSONS. GEOMETRY. — Axtomt. 1. Things which are equal to the same thing are equal...one another. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will be equal. This might be... | |
 | Peter Nicholson - 1823 - 210 pagina’s
...the course of a demonstration. 46. AXIOMS. 1. Things which are equal to the same thing, or things, are equal to one another. 2. If equals be added to equals, the wholes will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added... | |
 | Peter Nicholson - 1825 - 1046 pagina’s
...described from any centre, at any distance from that centre. AXIOMS. 1. Thingi which ate equal to the same are equal to one another. 2. If equals be added to equals the wholes are equals 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals,... | |
 | Thomas Curtis - 1829 - 814 pagina’s
...word line occurs, without the addition of either straight or curved, a straight line is always meant. AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. When equals are added to equals, the wholes are equal. 3. When equals are taken from equals, the remainders... | |
 | Pierce Morton - 1830 - 584 pagina’s
...sections, and are therefore here premised : — • AXIOMS.* • 1. Things, which are equal to the same, are equal to one another. 2. If equals be added to equals, the wholes arc equal. 3. If equals be taken from equals, the remainders are equal. 4. The doubles of equals are... | |
 | Timothy Walker - 1831 - 166 pagina’s
...axioms, and are to Geometry, what the foundations are to a building. Euclid's axioms are the following : 1. Things which are equal to the same thing are equal to one another. 2. If equal sbe added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders... | |
 | 1835 - 684 pagina’s
...following sections, and are therefore here premised : — AXIOMS.* 1. Things, which are equal to the same, are equal to one another. 2. If equals be added to...be taken from equals, the remainders are equal. 4. The doubles of equals are equal. 5. The halves of equals are equal. 6. The greater of two magnitudes,... | |
 | 1836 - 488 pagina’s
...lines, are such as are in the same plane, and which being produced ever so far both ways, do not meet. 1. Things which are equal to the same thing are equal...another. 2. If equals be added to equals, the wholes ere equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals,... | |
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Notions 1. Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Things which coincide with one another are equal... 
